{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from IPython.display import HTML, Image\n",
    "\n",
    "# Matplotlib\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.cm import get_cmap\n",
    "from matplotlib import animation\n",
    "\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "sns.set(rc={\"figure.figsize\": (10, 10)})\n",
    "\n",
    "# Break from default darkgrid for better printing on paper\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "# External Includes\n",
    "import torch\n",
    "from torch.nn import Sequential, Parameter\n",
    "from torch.autograd import Variable\n",
    "from torch.optim import SGD\n",
    "\n",
    "# Internal Includes\n",
    "from rfml.ptradio import RRC, Upsample, Downsample\n",
    "from rfml.ptradio.modem import _qpsk_constellation\n",
    "from rfml.nn.F import evm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_symbols = 32"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "indices = np.random.randint(low=0, high=4, size=n_symbols)\n",
    "target_symbols = np.array([_qpsk_constellation[i] for i in indices])\n",
    "target_symbols = np.stack((target_symbols.real, target_symbols.imag))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "target_symbols.shape\n",
    "\n",
    "def plotSymbols(ax, symbols, c):\n",
    "    ax.scatter(symbols[0,:], symbols[1,:], c=c, cmap=\"Set1\")\n",
    "\n",
    "    plt.axhline(0, ls=\"--\", color=\"black\")\n",
    "    plt.axvline(0, ls=\"--\", color=\"black\")\n",
    "\n",
    "    ax.set_xlabel(\"I\", fontsize=16)\n",
    "    ax.set_ylabel(\"Q\", fontsize=16)\n",
    "    \n",
    "    ax.set_xlim([-1, 1])\n",
    "    ax.set_ylim([-1, 1])\n",
    "\n",
    "    ax.set_aspect(\"equal\", \"box\")\n",
    "\n",
    "fig, ax = plt.subplots(1, 1, figsize=(10,10))\n",
    "plotSymbols(ax, target_symbols, indices)\n",
    "ax.set_title(\"Target Symbols\", fontsize=16, fontweight=\"bold\", loc=\"left\")\n",
    "fig.savefig(\"/Users/bballtwenty8/Downloads/targetsymbols.eps\", format=\"eps\", transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1, 1, 2, 32])\n",
      "torch.Size([1, 1, 2, 32])\n",
      "(32, 2)\n",
      "(2, 32)\n",
      "Saving\n",
      "(32, 2)\n",
      "(2, 32)\n",
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n",
      "7\n",
      "8\n",
      "9\n",
      "10\n",
      "11\n",
      "12\n",
      "13\n",
      "14\n",
      "15\n",
      "16\n",
      "17\n",
      "18\n",
      "19\n",
      "20\n",
      "21\n",
      "22\n",
      "23\n",
      "24\n",
      "25\n",
      "26\n",
      "27\n",
      "28\n",
      "29\n",
      "30\n",
      "31\n",
      "32\n",
      "33\n",
      "34\n",
      "35\n",
      "36\n",
      "37\n",
      "38\n",
      "39\n",
      "40\n",
      "41\n",
      "42\n",
      "43\n",
      "44\n",
      "45\n",
      "46\n",
      "47\n",
      "48\n",
      "49\n",
      "50\n",
      "51\n",
      "52\n",
      "53\n",
      "54\n",
      "55\n",
      "56\n",
      "57\n",
      "58\n",
      "59\n",
      "60\n",
      "61\n",
      "62\n",
      "63\n",
      "64\n",
      "65\n",
      "66\n",
      "67\n",
      "68\n",
      "69\n",
      "70\n",
      "71\n",
      "72\n",
      "73\n",
      "74\n",
      "75\n",
      "76\n",
      "77\n",
      "78\n",
      "79\n",
      "80\n",
      "81\n",
      "82\n",
      "83\n",
      "84\n",
      "85\n",
      "86\n",
      "87\n",
      "88\n",
      "89\n",
      "90\n",
      "91\n",
      "92\n",
      "93\n",
      "94\n",
      "95\n",
      "96\n",
      "97\n",
      "98\n",
      "99\n",
      "100\n",
      "101\n",
      "102\n",
      "103\n",
      "104\n",
      "105\n",
      "106\n",
      "107\n",
      "108\n",
      "109\n",
      "110\n",
      "111\n",
      "112\n",
      "113\n",
      "114\n",
      "115\n",
      "116\n",
      "117\n",
      "118\n",
      "119\n",
      "120\n",
      "121\n",
      "122\n",
      "123\n",
      "124\n",
      "125\n",
      "126\n",
      "127\n",
      "128\n",
      "129\n",
      "130\n",
      "131\n",
      "132\n",
      "133\n",
      "134\n",
      "135\n",
      "136\n",
      "137\n",
      "138\n",
      "139\n",
      "140\n",
      "141\n",
      "142\n",
      "143\n",
      "144\n",
      "145\n",
      "146\n",
      "147\n",
      "148\n",
      "149\n",
      "Saved\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"/Users/bballtwenty8/Downloads/symbolerror.gif\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1,2, figsize=(20,10))\n",
    "\n",
    "axes[0].axhline(0, ls=\"--\", color=\"black\")\n",
    "axes[0].axvline(0, ls=\"--\", color=\"black\")\n",
    "\n",
    "axes[0].set_xlabel(\"I\", fontsize=16)\n",
    "axes[0].set_ylabel(\"Q\", fontsize=16)\n",
    "\n",
    "axes[0].set_xlim([-1, 1])\n",
    "axes[0].set_ylim([-1, 1])\n",
    "\n",
    "axes[0].set_aspect(\"equal\", \"box\")\n",
    "\n",
    "axes[1].set_xlabel(\"Sample Number\", fontsize=16)\n",
    "axes[1].set_ylabel(\"Amplitude\", fontsize=16)\n",
    "\n",
    "#axes[1].set_xlim([-1, 1])\n",
    "axes[1].set_ylim([-1, 1])\n",
    "\n",
    "#axes[1].set_aspect(\"equal\", \"box\")\n",
    "\n",
    "_target_symbols = torch.from_numpy(target_symbols[np.newaxis, np.newaxis,::].astype(np.float32))\n",
    "print(_target_symbols.shape)\n",
    "\n",
    "mean = torch.zeros((1, 1, 2, _target_symbols.shape[3]))\n",
    "std = torch.ones((1, 1, 2, _target_symbols.shape[3]))\n",
    "tx_symbols = torch.nn.Parameter(torch.normal(mean, std))\n",
    "\n",
    "optimizer = SGD((tx_symbols,), lr=10e-2, momentum=0.9)\n",
    "\n",
    "tx_chain = Sequential(Upsample(i=8),\n",
    "                      RRC(alpha=0.35,\n",
    "                          sps=8,\n",
    "                          filter_span=8,\n",
    "                          add_pad=True))\n",
    "rx_chain = Sequential(RRC(alpha=0.35,\n",
    "                          sps=8,\n",
    "                          filter_span=8,\n",
    "                          add_pad=False),\n",
    "                      Downsample(offset=8*8,\n",
    "                                 d=8))\n",
    "\n",
    "def symbols_to_numpy(x):\n",
    "    return x.detach().numpy()[0,0,::].transpose(1, 0)\n",
    "\n",
    "def init():\n",
    "    x = symbols_to_numpy(tx_symbols)\n",
    "    print(x.shape)\n",
    "    print(x.transpose(1,0).shape)\n",
    "    scatter.set_offsets(x)\n",
    "    scatter.set_array(indices)\n",
    "    return scatter,\n",
    "\n",
    "def animate(i):\n",
    "    print(i)\n",
    "    tx_signal = tx_chain(tx_symbols)\n",
    "    rx_symbols = rx_chain(tx_signal)\n",
    "    loss = torch.mean(evm(rx_symbols, _target_symbols))\n",
    "    #print(loss.item())\n",
    "\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    tx_symbols.grad.zero_()\n",
    "\n",
    "    #fig.suptitle(r\"$E[EVM(\\cdot)]$ = {:.3f}\".format(loss.item()), x=0.0, horizontalalignment=\"left\", fontstyle=\"italic\", fontsize=12)\n",
    "    \n",
    "    axes[0].set_title(\"Transmitted Symbols at Epoch {}\".format(i), fontweight=\"bold\", fontsize=16, loc=\"left\")\n",
    "    axes[0].text(s=r\"$E[EVM(\\cdot)]$ is {:.3f}\".format(loss.item()), x=-0.9, y=0.9, fontsize=12,\n",
    "                 horizontalalignment=\"left\", bbox=dict(facecolor=\"white\", alpha=0.5))\n",
    "    axes[1].set_title(\"Transmitted Signal at Epoch {}\".format(i), fontweight=\"bold\", fontsize=16, loc=\"left\")\n",
    "\n",
    "    x = symbols_to_numpy(tx_symbols)\n",
    "    scatter.set_offsets(x)\n",
    "    scatter.set_array(indices)\n",
    "    scatter.set_color(matplotlib.cm.Set1(indices))\n",
    "\n",
    "    x = symbols_to_numpy(tx_signal)\n",
    "    lineR.set_data(t, x[:,0])\n",
    "    lineI.set_data(t, x[:,1])\n",
    "    \n",
    "    return scatter,\n",
    "\n",
    "print(tx_symbols.shape)\n",
    "\n",
    "x = symbols_to_numpy(tx_symbols)\n",
    "scatter = axes[0].scatter(x[:,0], x[:,1], cmap=\"Set1\")\n",
    "\n",
    "x = symbols_to_numpy(tx_chain(tx_symbols))\n",
    "t = np.arange(x.shape[0])\n",
    "lineR, = axes[1].plot(t, x[:,0], label=\"Real\")\n",
    "lineI, = axes[1].plot(t, x[:,1], label=\"Imag\")\n",
    "\n",
    "axes[1].legend()\n",
    "\n",
    "anim = animation.FuncAnimation(fig, animate, init_func=init,\n",
    "                               frames=150, interval=75, blit=True,\n",
    "                               repeat=True, repeat_delay=2000)\n",
    "print(\"Saving\")\n",
    "anim.save(\"/Users/bballtwenty8/Downloads/symbolerror.gif\", writer='imagemagick', dpi=50)\n",
    "print(\"Saved\")\n",
    "Image(url=\"/Users/bballtwenty8/Downloads/symbolerror.gif\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
